107398440 has 128 divisors (see below), whose sum is σ = 360288000. Its totient is φ = 28456704.

The previous prime is 107398429. The next prime is 107398441. The reversal of 107398440 is 44893701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107398395 and 107398404.

It is not an unprimeable number, because it can be changed into a prime (107398441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298981 + ... + 299339.

It is an arithmetic number, because the mean of its divisors is an integer number (2814750).

Almost surely, 2^107398440 is an apocalyptic number.

107398440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107398440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180144000).

107398440 is an abundant number, since it is smaller than the sum of its proper divisors (252889560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107398440 is a wasteful number, since it uses less digits than its factorization.

107398440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 656 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 107398440 is about 10363.3218612567. The cubic root of 107398440 is about 475.3344864737.

The spelling of 107398440 in words is "one hundred seven million, three hundred ninety-eight thousand, four hundred forty".